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Diano4ka-milaya [45]
3 years ago
10

If you remove the last digit (one’s place) from a 4-digit whole number, the resulting number is a factor of the 4-digit number.

How many such 4-digit numbers are present?
Mathematics
1 answer:
shutvik [7]3 years ago
6 0

Answer:

  900

Step-by-step explanation:

We assume that your 4-digit number must be in the range 1000 to 9999. Clearly, any number ending in zero will meet your requirement:

  1000/100 = 10

  3890/389 = 10

However, the requirement cannot be met when the 1s digit is other than zero.

__

For some 3-digit number N and some 1s digit x, the 4-digit number will be

  4-digit number: 10N+x

Dividing this by N will give ...

  (10N+x)/N = 10 remainder x

N will only be a factor of 10N+x when x=0.

So, there are 900 4-digit numbers that meet your requirement. They range from 1000 to 9990.

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The graph of the function f(x) = x2 + 8x + 12 is shown. Which statements describe the graph? Check all that apply.
strojnjashka [21]
<span>The axis of symmetry is x = –4.
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7 0
3 years ago
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The measures of two supplementary angles are (4x + 8) and (6x + 3)º.
Illusion [34]

Step-by-step explanation:

A supplementary angle is an angle that is 180 degrees. We are given two angles that add up to 180, but we need to solve for x first.

The first step is to solve both angles. We know that both angles added together are supplementary, so they are equal to 180.

4x + 8 = unknown angle

6x + 3 = unknown angle

(4x + 8) + (6x + 3) = 180

Because we know a supplementary angle is 180 degrees, we can solve for x to find both angles.

Solve for x.

(4x + 8) + (6x + 3) = 180

10x + 11 = 180

10x = 169

x = 16.9

Now, we know the value of x, so we plug in x for both angles to determine which angle is smaller.

4x + 8

4(16.9) + 8

67.6 + 8 = 75.6 degrees

and the other angle

6x + 3

6(16.9) + 3

101.4 + 3 = 104.4 degrees

Now we know that the smaller angle is 75.6 degrees.

Also, to make sure the math is correct, when plugging in both numbers after finding x, they should add to 180.

75.6 + 104.4 = 180 so we know they are supplementary for sure.

Good luck!

7 0
3 years ago
Read 2 more answers
In meters what is the value of x? Pls i really dont know how to do this
Hitman42 [59]

Answer:

x = 75 m

Step-by-step explanation:

This is a problem of similar triangles solved using proportions.

In similar triangles, corresponding side lengths are proportional.

Here the small and large triangles are similar because the have all three angles congruent.

By proportions, identifying corresponding sides,

x/45 = 50/30

solve for x

x = 45*(50/30) = 75 m

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Answer:

615.44cm

Step by Step Answer:

A=πr^{2}=π·14^{2}≈615.75216

5 0
3 years ago
4 (x+1 ) + 7(x+3) + 6(y +2) =
Korvikt [17]

Answer:

11x + 6y + 37

Step-by-step explanation:

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